English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Below the roughening transition, crystal surfaces exhibit nanoscale linedefects, steps, that move by exchanging atoms with their environment. Inhomoepitaxy, we analytically show how the motion of a step train in vacuumunder strong desorption can be approximately described by nonlinear laws thatdepend on local geometric features such as the curvature of each step, as wellas suitably defined effective terrace widths. We assume that each step edge, afree boundary, can be represented by a smooth curve in a fixed reference planefor sufficiently long times. Besides surface diffusion and evaporation, theprocesses under consideration include kinetic step-step interactions in slowlyvarying geometries, material deposition on the surface from above, attachmentand detachment of atoms at steps, step edge diffusion, and step permeability.Our methodology relies on boundary integral equations for the adatom fluxesresponsible for step flow. By applying asymptotics, which effectively treat thediffusive term of the free boundary problem as a singular perturbation, wedescribe an intimate connection of universal character between step kineticsand local geometry.

Emergence of local geometric laws of step flow in homoepitaxial growth